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Finding the Fourth Proportional to 313,587.52, 470,353.59 and 113,909.65

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Solution

The fourth proportional to 313,587.52, 470,353.59 and 113,909.65 is: 170,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,587.52 : 470,353.59 = 113,909.65 : x
  2. Step 2: Convert to fraction form
    313,587.52/470,353.59 = 113,909.65/x
  3. Step 3: Cross multiply
    313,587.52x = 470,353.59 × 113,909.65
  4. Step 4: Simplify right side
    313,587.52x = 53,577,811,637.26
  5. Step 5: Solve for x
    x = 53,577,811,637.26/313,587.52
  6. Step 6: Final answer
    x = 170,854.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.